352881596760 has 1280 divisors, whose sum is σ = 1449715138560. Its totient is φ = 67979197440.

The previous prime is 352881596759. The next prime is 352881596773. The reversal of 352881596760 is 67695188253.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 352881596694 and 352881596703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3426034869 + ... + 3426034971.

It is an arithmetic number, because the mean of its divisors is an integer number (1132589952).

Almost surely, 2^352881596760 is an apocalyptic number.

352881596760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352881596760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724857569280).

352881596760 is an abundant number, since it is smaller than the sum of its proper divisors (1096833541800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352881596760 is a wasteful number, since it uses less digits than its factorization.

352881596760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 352881596760 in words is "three hundred fifty-two billion, eight hundred eighty-one million, five hundred ninety-six thousand, seven hundred sixty".